\begin{table}%t3
\caption{\label{tab:3par}Best fitting parameters for the three parameter scaling relation fits.}
%\centerline
{\tiny 
\begin{tabular}{l l l l l}
\hline\hline
\multicolumn{1}{l}{Relation} & \multicolumn{1}{l}{$C$} & \multicolumn{1}{l}{$\alpha$} & \multicolumn{1}{l}{$\beta$} & \multicolumn{1}{l}{$\sigma_{\rm ln~L,intrinsic}$} \\
\hline
$L_1$--$T_1$--$n_{e,0}$ & $27.45\pm1.45$ & $2.61\pm0.36$ & $0.36\pm0.10$ & $0.47\pm0.04$\\
$L_1$--$Y_{\rm X}$--$n_{e,0}$ & $13.90\pm1.13$ & $0.99\pm0.04$ & $0.26\pm0.03$ & $0.22\pm0.02$ \\
$L_1$--$M$--$n_{e,0}$ & $4.84\pm1.14$ & $1.82\pm0.07$ & $0.26\pm0.03$ & \ldots \\
\hline
\end{tabular}}
\medskip
Data were fitted with a power law of the form $h(z)^{n} L = C ~ (A / A_0)^\alpha (n_e)^\beta$, with $A_0 = 5$~keV, $2 \times 10^{14}~M_\odot$~keV and $2 \times 10^{14}~M_\odot$, and $n=-1$, $-9/5$ and $-7/3$ for $T$, $Y_{\rm X}$ and~$M$, respectively. $L_1/T_1$: luminosity/temperature interior to $\Rv$.
\end{table}